Home
Class 12
MATHS
If the set A contains 5 elements and the...

If the set `A` contains 5 elements and the set B contains 6 elements, then the number of one-one and onto mappings from A to B is `720` (b) 120 (c) 0 (d) none of these

A

720

B

120

C

0

D

None of these

Text Solution

Verified by Experts

The correct Answer is:
C
We know that, if A and B are two non-empty finite set containing m and n elements respectively, then the number of one-one and onto mapping from A to B is
n! if m = n
0 if m `ne` n
Given that, m = 5 and n = 6
` :. M ne n`
Number of mapping = 0
Promotional Banner

Topper's Solved these Questions

  • PROBABILITY

    NCERT EXEMPLAR|Exercise Probability|107 Videos

  • THREE DIMENSIONAL GEOMETRY

    NCERT EXEMPLAR|Exercise Three Dimensional Geometry|46 Videos

Similar Questions

Explore conceptually related problems

If the set A contains 5 elements and the set B contains 6 elements,then the number of one- one and onto mappings from A to B is (a) 720 (b) 120 (c) 0 (d) none of these

If a set A contain 7 elements and the set B contain 9 elements, then the number of one-one and onto , mappings from A to B is :

If the set A contains 7 elements and the set B contains 10 elements,then the number of one- one functions from A to B is

The set A has 4 elements and thse set B has 5 elements, then the number of injective mapping that can be defined from A to B is

If A contains 4 elements and B contains 3 elements, then total number of distinct relations from a set A to set B is

If set A has 3 elements and the set B has 5 elements , then , the number of injective mappings that can be defined from A to B is :

Set A has 3 elements and the set B has 4 elements. Then, the number of injective mappings that can be defined from A to B is :

If a set A contain 9 elements and set B contains 5 elements, then which of the following is not true?

If set A has 3 elements and set B has 6 elements,then the number of elements in A uu B?

NCERT EXEMPLAR-RELATIONS AND FUNCTIONS-Relations And Functions
  1. If A = {1, 2, 3} and consider the relation R ={(1, 1), (2, 2), (3, 3...

    Text Solution

    |

  2. The identity element for the binary operation ** defined on Q - {0} as...

    Text Solution

    |

  3. If the set A contains 5 elements and the set B contains 6 elements, th...

    Text Solution

    |

  4. Let A={1,2,..., n} and B={a , b }. Then number of subjections from A i...

    Text Solution

    |

  5. If f: R to R be defined by f(x) =(1)/(x), AA x in R. Then , f is

    Text Solution

    |

  6. If f:R to R be defined by f(x)=3x^(2)-5 and g: R to R by g(x)= (x)/(x...

    Text Solution

    |

  7. Which of the following functions from Z to itself are bijections? a

    Text Solution

    |

  8. f:R->R defined by f(x) = x^2+5

    Text Solution

    |

  9. If f:A to B and g:B to C be the bijective functions, then (gof)^(-1) i...

    Text Solution

    |

  10. Let f: R-{3/5}->R be defined by f(x)=(3x+2)/(5x-3) . Then

    Text Solution

    |

  11. If f(x) is defined on [0, 1] by the rule f(x)={x, if x is ration...

    Text Solution

    |

  12. If f : [2,oo) to R be the function defined by f(x)=x^(2)-4x+5, then th...

    Text Solution

    |

  13. Let f:N rarr R be the function defined by f(x)=(2x-1)/2 and g:Q rarr Q...

    Text Solution

    |

  14. If f: R to R be defined by f(x)={(2x:xgt3),(x^(2):1lt x le 3),(3x:x le...

    Text Solution

    |

  15. If f:R to R be given by f(x)= tan x, then f^(-1)(1) is

    Text Solution

    |

  16. Let the relation R be defined in N by a R b, if 2a + 3b = 30. Then R =...

    Text Solution

    |

  17. If the relation R be defined on the set A={1,2,3,4,5} by R={(a,b): |a^...

    Text Solution

    |

  18. If the functions f and g are given by f={(1,\ 2),\ (3,\ 5),\ (4,\ 1)} ...

    Text Solution

    |

  19. If f:R to R be defined by f(x) = (x)/(sqrt(1 +x^(2) )), then (fofof)...

    Text Solution

    |

  20. If f(x) = [4-(x-7)^(3)], then f^(-1)(x)= ………… .

    Text Solution

    |